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The aim of the investigation is to demonstrate and compare three numerical methods.
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A-LevelMathematics The aim of the investigation is to demonstrate...
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The aim of the investigation is to demonstrate and compare three numerical methods. Not all equations of the form fx=0 can be solved algebraically. Numerical methods are sometimes required. The three methods I will demonstrate and compare are: ?é?À Interval Bisection ?é?À Newton-Raphson ?é?À Re-arrangement Interval Bisection I will demonstrate how this method works by finding a root of ax3 + bx2 + cx +d =0. The first step when trying to solve or find the roots of any equation of the form fx=0 is to look at the change...
xi fxi

1 -1.0000 2.8571 -2.0000 -6.6667 -1.5000 10.0000

2 -1.5000 10.0000 -2.0000 -6.6667 -1.7500 -40.0000

3 -1.5000 10.0000 -1.7500 -40.0000 -1.6250 26.6667

4 -1.6250 26.6667 -1.7500 -40.0000 -1.6875 160.0000

5 -1.6875 160.0000 -1.7500 -40.0000 -1.7188 -106.6667

6 -1.6875 160.0000 -1.7188 -106.6667 -1.7031 -640.0000

7 -1.6875 160.0000 -1.7031 -640.0000 -1.6953 426.6667

8 -1.6953 426.6667 -1.7031 -640.0000 -1.6992 2560.0000

9 -1.6992 2560.0000 -1.7031 -640.0000 -1.7012 -1706.6667

10 -1.6992 2560.0000 -1.7012 -1706.6667 -1.7002 -10240.0000

11 -1.6992 2560.0000 -1.7002 -10240.0000 -1.6997 6826.6667

12 -1.6997 6826.6667 -1.7002 -10240.0000 -1.7000 40960.0000

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